Holder continuity of perturbed solution set for convex optimization problems

作     者：Li, X. B. Li, S. J. 

作者机构：Chongqing Jiaotong Univ Coll Sci Chongqing 400074 Peoples R China Chongqing Univ Coll Math & Stat Chongqing 401331 Peoples R China 

出 版 物：《APPLIED MATHEMATICS AND COMPUTATION》 (Appl. Math. Comput.)

年 卷 期：2014年第232卷

页      面：908-918页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：National Natural Science Foundation of China [11201509  11271389] 

主　　题：Parametric optimization problems Perturbed solution sets Holder continuity Pompeiu-Hausdorff metric 

摘      要：In this paper, we first establish sufficient conditions for the local uniqueness and Holder continuity of perturbed solution set for a scalar optimization problem. Then, by using a linear scalarization method, we obtain the Holder continuity of two classes of perturbed solution sets for a multiobjective programming problem, respectively. We also give some examples to illustrate that our main results are applicable. These examples are also given to illustrate that our main results are new and different from the ones in literature. (C) 2014 Elsevier Inc. All rights reserved.